A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem

DOI10.1155/2012/846582zbMath1253.65123OpenAlexW2097301160WikidataQ58696934 ScholiaQ58696934MaRDI QIDQ1925445

Allaberen Ashyralyev, Ozgur Yildirim

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/846582

zbMATH Keywords

absolutely stable difference schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (8)

Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ On numerical solutions for hyperbolic-parabolic equations with the multipoint nonlocal boundary condition ⋮ Analytical solution for a non-self-adjoint and non-local-boundary value problem including a partial differential equation with a complex constant coefficient ⋮ A Galerkin method for two-dimensional hyperbolic integro-differential equation with purely integral conditions ⋮ A matrix formulated algorithm for solving parabolic equations with nonlocal boundary conditions ⋮ Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions ⋮ Solving parabolic integro-differential equations with purely nonlocal conditions by using the operational matrices of Bernstein polynomials ⋮ On stability of a third order of accuracy difference scheme for hyperbolic nonlocal BVP with self-adjoint operator

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